Question

How to solve 4/7y-2 = 3/7 + 3/14

Answer 1

Solution

1) Simplify $\frac{4}{7y}$ to $\frac{4y}{7}$
$\frac{4y}{7}$ −2= $\frac{3}{7}$ + $\frac{3}{14}$

2) Simplify $\frac{3}{7}$ + $\frac{3}{14}$ to 914
$\frac{4y}{7}$ −2= $\frac{9}{14}$

3) Add 2 to both sides
$\frac{4y}{7}$ = $\frac{9}{14}$ +2

4) Simplify $\frac{9}{14 }$ +2 to $\frac{37}{14}$
$\frac{4y}{7}$ = $\frac{37}{14}$

5) Multiply both sides by 7
4y= $\frac{37}{14}$ ×7

6) Simplify $\frac{37}{14}$ ×7 to $\frac{259}{14}$
$\frac{4y}{7}$ =$\frac{259}{14}$

7) Simplify $\frac{259}{14}$ to $\frac{37}{2}$
$\frac{4y}{7}$ = $\frac{37}{2}$

8) Divide both sides by 4
y= $\frac{37}{2}$ ×4

9) Simplify 2×4 to 8
y=$\frac{37}{8}$

Hope this helps